Shell Interactions for Dirac Operators: On the Point Spectrum and the Confinement
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Publication:5253435
DOI10.1137/14097759XzbMath1314.81083arXiv1401.1297OpenAlexW1978653258MaRDI QIDQ5253435
Albert Mas, Naiara Arrizabalaga, Luis Vega
Publication date: 26 May 2015
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.1297
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Atomic physics (81V45) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20)
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Cites Work
- Self-adjoint, globally defined Hamiltonian operators for systems with boundaries
- Shell interactions for Dirac operators
- Functional analysis, Sobolev spaces and partial differential equations
- Hardy spaces, singular integrals and the geometry of Euclidean domains of locally finite perimeter
- A variational study of some hadron bag models
- Über das asymptotische Verhalten der Lösungen von \(\Delta u+\lambda u=0\) in unendlichen Gebieten
- Dirac operators with a spherically symmetric δ-shell interaction
- Hardy-type estimates for Dirac operators
- Self-adjoint extensions of restrictions
- Krein's resolvent formula for self-adjoint extensions of symmetric second-order elliptic differential operators
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